3101001323013 has 24 divisors (see below), whose sum is σ = 4890176665920. Its totient is φ = 1877952303360.

The previous prime is 3101001323003. The next prime is 3101001323071. The reversal of 3101001323013 is 3103231001013.

It is a happy number.

3101001323013 is a `hidden beast` number, since 310 + 100 + 13 + 230 + 13 = 666.

It is not a de Polignac number, because 3101001323013 - 2¹⁶ = 3101001257477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101001323003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11890668 + ... + 12148661.

It is an arithmetic number, because the mean of its divisors is an integer number (203757361080).

Almost surely, 2^{3101001323013} is an apocalyptic number.

3101001323013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3101001323013 is a deficient number, since it is larger than the sum of its proper divisors (1789175342907).

3101001323013 is a wasteful number, since it uses less digits than its factorization.

3101001323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24040649 (or 24040646 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3101001323013 its reverse (3103231001013), we get a palindrome (6204232324026).

The spelling of 3101001323013 in words is "three trillion, one hundred one billion, one million, three hundred twenty-three thousand, thirteen".